Questions:
SUBJECT: COMPUTER ORIENTED NUMERICAL ANALYSIS
ASSIGN MENTA
(Any three)
1.Solve the following set of equation by Gauss elimination method.
2x +3y+4z=12
3x + y +z=4
x+4y+z=5
 Find the rate of convergence of Newton Raphson method. Solve by www.solvezone.in
 Define error, relative error and absolute error, give example of each.
ASSIGNMENTB
 a) Round off and truncate the following numbers to the four decimal places.
 b) Find the route of equation 2x² 5x1=0 by using bisection method. Perform 5 steps.
 Solve the following equation by Jacobi method. Perform three steps.
xÃ¢â€šÂ2xÃ¢â€šâ€šxÃ¢â€šÆ’xÃ¢â€šâ€ž=3
2xÃ¢â€šÂ + xÃ¢â€šâ€šxÃ¢â€šÆ’ xÃ¢â€šâ€ž=15
xÃ¢â€šÂ – xÃ¢â€šâ€š + xÃ¢â€šÆ’ 2xÃ¢â€šâ€ž =27
xÃ¢â€šÂ xÃ¢â€šâ€š2xÃ¢â€šÆ’+xÃ¢â€šâ€ž =9
 For a given data
X

F(x)

1

33

2

50

3

69

4

90

5

129

Find the value of f(x) at 1.4
 Choose 4 card at random from standard 52 card deck. What is the probability that two kings and two ace will be chosen.
ASSIGNMENT C
Question No: 1
Round off the number 0.859378 to four significant digits.
 8594
 8593
 8593
 593
Question No: 2
Truncate the number 0.859378 to four significant digits.
 8594
 8593
 8593
 None
Question No: 3
The formula for Regula Falsi method is
Question No: 4
 234
 666
 9823
 None of the above
Question No: 5
 x0=1, x1=2
 x0=0, x1=1
 x0=0, x1=1
 x0=1, x1=2
Question No: 6
 3568
 995
 09
 135
Question No: 7
 .479
 .3854
 .4053
 .793
Question No: 8
Which method has the fastest convergence?
 Bisection method
 Newton Raphson Method
 Regula Falsi Method
 Iterative Method
Question No: 9
In Bisection method the initial approximation x0 and x1 are chosen such that
 f(x0).f(x1)<0
 f(x0).f(x1)>0
 f(x0).f(x1)=0
 f(x0)f(x1) is negative.
Question No: 10
 d) None
Question No: 11
 Transcendental equation
 Algebraic Equation
 Polynomial Equation
 None of the above
Question No: 12
 d) None of these
Question No: 13
Which one is true?
Question No: 14
If ei+1/eip = 1 then rate of convergence is said to be
 Linear
 Quadratic
 p
 None
Question No: 15
Rate of convergence of Newton Raphson method is
 1
 2
 3
 Can’t be determined
Question No: 16
Inverse of inverse of a matrix A is
 A1
 1/A
 A
 None of these
Question No: 17
For Matrix A and B of same order, AB=BA
 True
 FALSE
 Can’t be determined
 None of these
Question No: 18
Which one is an integration method?
 Trapezoidal Method
 Newton Raphson Method
 Jacobi Method
 None
Question No: 19
Which one is not an interpolation method?
 Lagrange’s Method
 Newton Forward Method
 Newton Divided Difference Formula
 Bisection Method
Question No: 20
Round off the number 0.259378 to four significant digits.
 2594
 2593
 2594
 None
Question No: 21
Truncate the number 0.159378 to four significant digits.
 1594
 1593
 1593
 594
Question No: 22
Which one is true?
 y1=y0h
 y1=y0/h
 y1=y0+h
 None
Question No: 23
The formula for Bisection method is
 x2=(x0+x1)/2
 x2=(x0x1)/2
 x2= x2=(x0*x1)/2
 None
Question No: 24
Cramer’s rule fails for
 Δ = 2
 Δ = 1
 Δ =0
 None
Question No: 25
To solve a set of linear algebraic equations, the method is:
 Gauss Jordan
 Jacobi
 Gauss Elimination
 None
Question No: 26
 (1,6)
 (2,3)
 (2,2)
 None
Question No: 27
Equation of line is:
 y=c
 y=ax2+c
 y=ax+c
 None
Question No: 28
Δ² yÃ¢â€šâ€™ is
 y22y1+y0
 y2+2y1+y0
 y2+y1+y0
 None
Question No: 29
Runga Kutta method is used for
 Differentiation
 Integration
 Differential Equation
 None of these
Question No: 30
Trapezoida formula is
 h/2[yÃ¢â€šâ€™+yn+2(y1+y2+….+yn)]
 [yÃ¢â€šâ€™+yn+2(y1+y2+….+yn)]
 3h/8[yÃ¢â€šâ€™+yn+2(y1+y2+….+yn)]
 None of these
Question No: 31
For Simpson’s 3/8 rule, the value of n is
 1
 2
 3
 4
Question No: 32
Accuracy of Simpson’s method is better than Trapezoidal method.
 True
 False
 Can’t say
 ,
Question No: 33
Divided Difference formula can also be used for equidistant points:
 True
 False
 Can’t say
 ,
Question No: 34
(1+Δ)(1+?)=
 1
 0
 Δ
 None
Question No: 35
 3
 3
 9
 None of these
Question No: 36
In Question 34, what is the value of F’(x) at x=0
 1
 2
 3
 None of these
Question No: 37
For getting the solution of nonlinear equation, which method uses the tangent
 Bisection
 Iterative
 Newton Raphson
 Regula Falsi
Question No: 38
Jordan method is a refinement over Gausee’s method
 True
 False
 Can’t say
 ,
Question No: 39
Numerical Solutions always give accurate solution
 True
 False
 ,
 ,
Question No: 40
What will be the relative error if 2/3 is approximated to 0.667?
 0005
 0006None
 005
 None